10056005500820 has 36 divisors (see below), whose sum is σ = 21820799491092. Its totient is φ = 3892647283200.

The previous prime is 10056005500819. The next prime is 10056005500837. The reversal of 10056005500820 is 2800550065001.

It can be written as a sum of positive squares in 2 ways, for example, as 7759556217604 + 2296449283216 = 2785598^2 + 1515404^2 .

It is a super-2 number, since 2×10056005500820² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261583421 + ... + 261621860.

It is an arithmetic number, because the mean of its divisors is an integer number (606133319197).

Almost surely, 2^{10056005500820} is an apocalyptic number.

10056005500820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10056005500820 is an abundant number, since it is smaller than the sum of its proper divisors (11764793990272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10056005500820 is a wasteful number, since it uses less digits than its factorization.

10056005500820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523205352 (or 523205319 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

Adding to 10056005500820 its reverse (2800550065001), we get a palindrome (12856555565821).

The spelling of 10056005500820 in words is "ten trillion, fifty-six billion, five million, five hundred thousand, eight hundred twenty".